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The simplification of √75+ √48 -2√675 is -21√3.

What is a surd?

Surds are irrational numbers.

To simplify the surd in the question above, we use the addition and subtraction of surds.

Addition and subtraction of surds

Two or more surds can be added or subtracted if they are in the same basic form.

E.g

  • a√b+c√b = (a+c)√b
  • a√b-c√b = (a-c)√b

Using the above example,

Given:

  • √75+√48-2√675

Express the surds to the same basic form

  • 5√3+4√3-(2×15)√3
  • 5√3+4√3-30√3
  • 9√3-30√3 = -21√3

Hence, the simplification of √75+ √48 -2√675 is -21√3.

Learn more about surds here: https://brainly.com/question/18070276

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